Research on relationship between independent variable, moderating variable and dependent variable. Example relationship between independent variable and organization performance.
I am not completely sure what you mean by the question. The Rasch model is basically an application of logistic regression.
Logistic regression is based on the following:
F(x) = 1 / (1 + e-x)
The above is called the logistic function.
Probability of an event = F(some independent variable)
(The reason for choosing the logistic function to model binary phenomena involves some more mathematical theory but is related to ideas regarding statistical sufficiency. Google "canonical link function" if you want to get more information)
Rasch modeling always models the relationship between a dependent and an independent variable. The issue is what you regard as the independent and the dependent variable.
The basic formulation of the Rasch model is as follows:
Probability of getting an item on a scale correct = F(Person Ability - Item Difficulty)
In this way, we might describe person ability and item difficulty as independent variables and the probability as a dependent variable.
Could you use the Rasch model to demonstrate the relationship between an independent variable and organization performance? In theory yes, but it depends on what "organization performance" means and what the "independent variable" is.
For example, if you have a scale with a number of items that is a measure of "organizational performance", then you can try to fit a Rasch model to that scale, and you are modeling probabilities of an organization achieving various criteria on that scale as a function of both organization ability and criterion difficulty.
More fundamentally, I would wonder why you would want to approach a question in this way. Rasch works well in articulating measures from multiple items, but why would you want to apply that approach to two distinctly separate constructs that you are trying to link causally?
Thank you for your response. I am conducting research on the relationship between ISO 9001: 2008 and the organizations performance and Kaizen as a moderator variable. Can I use the Rasch model for analysing the data.